Home / 7,464-9,720

Finding the Third Proportional to 7,464 and 9,720

Calculator

Solution

The third proportional to 7,464 and 9,720 is: 12,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464 : 9,720 = 9,720 : x
  2. Step 2: Convert to fraction form
    7,464/9,720 = 9,720/x
  3. Step 3: Cross multiply
    7,464x = 9,720 × 9,720
  4. Step 4: Simplify right side
    7,464x = 94,478,400
  5. Step 5: Solve for x
    x = 94,478,400/7,464
  6. Step 6: Final answer
    x = 12,657.88

Related Problems

Find third proportional to 3,732 and 4,860
Half scale
Find third proportional to 14,928 and 19,440
Double scale
Find third proportional to 7,466 and 9,723
Similar ratio
Find third proportional to 11,196 and 14,580
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.